Achha, in integrals from 0 to π/2, the collapse often comes from symmetry properties—like using the king's rule, ∫₀ᵃ f(x)dx = ∫₀ᵃ f(a-x)dx. It simplifies things when the function behaves nicely. But yaar, my life with the apple shed says the real collapse happens when things aren't balanced—one hailstorm on one side of the valley can ruin a whole harvest, while the other side is fine. So I always check the limits and the function's behavior carefully, because assumptions can destroy everything, just like an untimely storm.
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